coulomb excitation data analysis codes; gosia 2007 - Physics and ...

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3, 5, 190, 194, 17.8, 28 Number of energy and theta meshpoints, energy range, theta range of detectedparticle, in this case target.190, 192, 194 Energy meshpoints−3, −3.5, −4., −4.5, −5. Projectile scattering angle meshpoints (appended minus sign when target wasactually detected)3, 5, 190, 194, 28, 32.8 Number of energy and theta meshpoints, etc. for experiemnt 2..190, 192, 194−5., −5.7, −6.4, −7.1, −7.71 As above, for experiment 2.3 Number of meshpoints to define dE/dx190, 192, 194 Meshpoints10, 10, 10 dE/dx values20, 20 Number of subdivisions for numerical integration0 Use the same dE/dx table for experiment 220, 20 Number of subdivisions for experiment 2.In the present case input to OP,INTG is very simple — we defined axially symmetric ring detectors, so itis not necessary to define theta-phi dependence to reproduce arbitrary shape. Also the geometry is identicalfor both experiments. This corresponds to usual MINIBALL situation. OP,INTG offers the full descriptionof an experiment, not only-as OP,POIN does-limited to mean values of bombarding energy and scatteringangle. Input to OP,INTG is identical to that of GOSIA.OP, CORR Converts the experimental yields (unit 3) to the values corresponding to „point yields”(unit 4). Corrected yields thus replace „original” yields and are subsequently used in the fittingprocedure. Should immediately follow OP,INTGOP, RESTcode.Overwrites the set of matrix elements defined by ME. Should be used when re-running the1,.5 Matrix element #1 set to .5 by hand. Of course remove this when running fitting again, otherwiseonce again the value will be reset.0, 0 Ends the input.A sequenceOP, REST0, 0means read the matrix elements as stored with no hand-made changesOP, MINI2100, 5,.0001,.0001, 1.01, 0, 0, 1, 0, 0 Fitting parameters as in GOSIA, but the way GOSIA2 treatsfitting is different. GOSIA2, along with fitting the matrix elements fits normalization constants insuch a way that the constants are the same for corresponding datasets from both projectile and targetexcitation. The parameters given here are recommended ones. Before OP,MINI is executed OP,MAPmust be executed (only once for each case (projectile or target excitation).144
OP, ERRO Estimation of errors of fitted matrix elements and optionally creation of SIGMA input file.Executed separately for both target and projectile exactly like in GOSIA.Parallel input for target — very similar to that of projectile. Below there is a list of optionsjust pointing out what are the differences (easy to guess):2 –––––––-input must be labelled 2OP,FILE –––– change kr88 to c12 where appropriate22,3,1c12.out25,3,1kr88.inp26,3,1c12.inp14,3,1dum.1417,3,1dum.1715,3,1dum.1512,3,1kr88.me32,3,1c12.me9,3,1det.inp11,3,2crf.dat3,3,1c12.org27,3,1c12.map4,3,1c12.cor7,3,1kr88.map18,3,1dum.1833,3,1c12.smr13,3,1cnor.dat23,3,1c12.raw0,0,0OP,TITLTarget excited –––––––––––—or any other titleOP,GOSILEVE –––––––––––––––—level scheme of c12 instead of kr881,1,0,02,1,2,.83,1,4,2.4,1,2,1.0,0,0,0ME ––––––––––––––––––––––-c12 matrix elements145
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COULOMB EXCITATION DATA ANALYSIS CO
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10 MINIMIZATION BY SIMULATED ANNEAL
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1 INTRODUCTION1.1 Gosia suite of Co
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104 Ru, 110 Pd, 165 Ho, 166 Er, 186
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Figure 1: Coordinate system used to
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Cλ E =1.116547 · (13.889122) λ (
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Figure 2: The orbital integrals R 2
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2.2 Gamma Decay Following Electroma
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where :d 2 σ= σ R (θ p ) X R kχ
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Formula 2.49 is valid only for t mu
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Ã XK(α) =exp−iτ i (E γ )x i (
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important to have an accurate knowl
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3 APPROXIMATE EVALUATION OF EXCITAT
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with the reduced matrix element M c
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q (20)s (0 + → 2 + ) · M 1 ζ (2
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esults of minimization and error ru
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adjustment of the stepsize accordin
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approximation reliability improves
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Zd 2 σ(I → I f )Y (I → I f )=s
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4.5 MinimizationThe minimization, i
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X(CC k Yk c − Yk e ) 2 /σ 2 k =m
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However, estimation of the stepsize
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It can be shown that as long as the
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een exceeded; third, the user-given
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where f k stands for the functional
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x i + δx i Rx iexp ¡ − 1 2 χ2
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method used for the minimization, i
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OP,ERRO (ERRORS) (5.6):Activates th
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-----OP,SIXJ (SIX-j SYMBOL) (5.25):
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5.3 CONT (CONTROL)This suboption of
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I,I1 Ranges of matrix elements to b
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CODE DEFAULT OTHER CONSEQUENCES OF
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5.4 OP,CORR (CORRECT )This executio
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5.6 OP,ERRO (ERRORS)ThemoduleofGOSI
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5.7 OP,EXIT (EXIT)This option cause
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M AControls the number of magnetic
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5.10 OP,GDET (GE DETECTORS)This opt
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5.12 OP,INTG (INTEGRATE)This comman
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¡ dE¢dx1 ..¡ dEdx¢Stopping powe
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NI1, NI2 Number of subdivisions of
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5.13 LEVE (LEVELS)Mandatory subopti
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5.15 ME (OP,COUL)Mandatory suboptio
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Figure 10: Model system having 4 st
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ME =< INDEX2||E(M)λ||INDEX1 > The
Page 93 and 94: When entering matrix elements in th
Page 95 and 96: There are no restrictions concernin
Page 97 and 98: 5.18 OP,POIN (POINT CALCULATION)Thi
Page 99 and 100: 5.20 OP,RAW (RAW UNCORRECTED γ YIE
Page 101 and 102: 5.21 OP,RE,A (RELEASE,A)This option
Page 103 and 104: 5.25 OP,SIXJ (SIXJ SYMBOL)This stan
Page 105 and 106: 5.27 OP,THEO (COLLECTIVE MODEL ME)C
Page 107 and 108: 2,5,1,-2,23,5,1,-2,23,6,1,-2,2Matri
Page 109 and 110: 5.29 OP,TROU (TROUBLE)This troubles
Page 111 and 112: to that of the previous experiment,
Page 113 and 114: To reduce the unnecessary input, on
Page 115 and 116: OP,STAR or OP,POIN under OP,GOSI. N
Page 117 and 118: 5.31 INPUT OF EXPERIMENTAL γ-RAY Y
Page 119 and 120: 6 QUADRUPOLE ROTATION INVARIANTS -
Page 121 and 122: *½P 5 (J) = s(E2 × E2) J ×¯h¾
Page 123 and 124: The expectation value of cos3δ can
Page 125 and 126: where ē is an arbitratry vector. D
Page 127 and 128: achieved using “mixed“ calculat
Page 129 and 130: TAPE9 Contains the parameters neede
Page 131 and 132: TAPE18 Input file, containing the i
Page 133 and 134: 7.4.4 CALCULATION OF THE INTEGRATED
Page 135 and 136: OP,EXITInput: TAPE4,TAPE7,TAPE9Outp
Page 137 and 138: OP,ERRO0,MS,MEND,1,0,RMAXand the fi
Page 139 and 140: 8 SIMULTANEOUS COULOMB EXCITATION:
Page 141 and 142: 4, 3, 1kr88.corKr corrected yields
Page 143: 0 Correction for in-flight decay ch
Page 147 and 148: 9 COULOMB EXCITATION OF ISOMERIC ST
Page 149 and 150: configurations with a probability e
Page 151 and 152: The average range covered by each m
Page 153 and 154: SFX,NTOTI1(1),I2(1),RSIGN(1)I1(2),I
Page 155 and 156: 11.2 LearningtoWriteGosiaInputsThe
Page 157 and 158: (1.6 MeV)1.1 MeV0.75 MeV0.4 MeV0.08
Page 159 and 160: Define the germaniumdetector geomet
Page 161 and 162: Figure 15: Flow diagram for Gosia m
Page 163 and 164: gosia < 2-make-correction-factors.i
Page 165 and 166: Issue the commandgosia < 9-diag-err
Page 167 and 168: At this point, it is suggested to c
Page 169 and 170: calculation.) In this case, a copy
Page 171 and 172: 4,-4, -3.705, 3,44,5, 4.626, 3.,7.5
Page 173 and 174: 90145901459014590145901459014590145
Page 175 and 176: .10.028921.10.026031.10.023431.10.0
Page 177 and 178: 5,5,634,650,82.000,84.000634,638,64
Page 179 and 180: ***********************************
Page 181 and 182: *** CHISQ= 0.134003E+01 ***MATRIX E
Page 183 and 184: CALCULATED AND EXPERIMENTAL YIELDS
Page 185 and 186: 11.7 Annotated excerpt from a Coulo
Page 187 and 188: 11.8 Accuracy and speed of calculat
Page 189 and 190: 18,10.056,0.068,0.082,0.1,0.12,0.15
Page 191 and 192: line 152 Eu 182 Tanumber (keV) (keV
Page 193 and 194: 1.6 Normalization between data sets
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13 GOSIA 2007 RELEASE NOTESThese no
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Matrix elements 500(April 1990, T.
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14 GOSIA Manual UpdatesDATE UPDATE2
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[KIB08]T.Kibédi,T.W.Burrows,M.B.Tr
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